AP EAMCET202021 Sep 2020Evening ShiftMathematicsDifferentiationActual
The derivate of (y= ⁻¹ ( 1+x^2 -1 x ) ) is equal to
Options
- A( 2 (1+x^2 ) )
- B( 1 2 (1+x^2 ) )
- C( (1+x^2 ) )
- D(2 (1+x^2 ) )
Correct answer
B. ( 1 2 (1+x^2 ) )
Step-by-step solution
Given, (y= ⁻¹ ( 1+x^2 -1 x ) ) Let, (x= ) So, (y= ⁻¹ ( 1+ ^2 -1 ) ) ( aligned & = ⁻¹ ( -1 )= ⁻¹ ( 1- ) & = ⁻¹( / 2)= / 2 y & = 1 2 ⁻¹ x d y d x = 1 2 ( 1 1+x^2 ) aligned ) Hence, option (b) is correct.